NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRAL EQUATIONS BASED ON RATIONAL CHEBYSHEV APPROXIMATION

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Deniz S., Özger F., Özger Z., Mohiuddine S., Ersoy M.

Miskolc Mathematical Notes, vol.24, no.3, pp.1287-1305, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.18514/mmn.2023.4291
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.1287-1305
  • Keywords: fractional integral equations, rational Chebyshev functions, numerical scheme
  • Open Archive Collection: AVESIS Open Access Collection
  • Manisa Celal Bayar University Affiliated: No

Abstract

We aim to give the numerical method for solving the fractional Volterra integral equations of first and second kinds. We here use the techniques based upon rational Chebyshev functions and Riemann-Liouville fractional integrals. Some illustrative experiments with a view of estimating error and graphics are given in order to show the validity and applicability of the technique. Our experiments show that the new technique has high accuracy and is very efficient when compare to the other approaches existing in literature.